Mathematics

In the diagram given below $\angle EDC$. The tangent drawn to the circle at $C$ makes and angle of ${50}^{o}$ with $AB$ produced. Find the measure of $\angle ACB$.

SOLUTION
$\angle{AGE}={50}^{\circ}$
Consider $AC$ diameter
In $\triangle{ACG},\angle{ACG}={90}^{\circ}$
$\Rightarrow \angle{CAG}={40}^{\circ}$
In $\triangle{ACB},\angle{CAB}={40}^{\circ}$
$\Rightarrow \angle{ACB}={50}^{\circ}$

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Subjective Medium Published on 09th 09, 2020
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